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本文根据彩色卤化银成像体系中显影剂氧化产物（ＱＤＩ）在介质层中扩散－反应的过程，设计了一个描述彩色染料影像最小基元－染料云形成的动力学过程的数学模型．此模型模拟了内含分散性成色剂油珠的介质层中，曝光的卤化银颗粒在彩色显影时，其表面上生成的ＱＤＩ在向颗粒周围作球型扩散的同时，一方面其本身要进行脱氨或磺化反应，另一方面又要与成色剂油珠发生界面偶合反应生成染料，并在颗粒周围形成染料云．此模型不仅可提供彩色卤化银体系中染料云形成细微过程的描述，而且还可提供介质层中染料的径向分布、ＱＤＩ浓度的时空分布以及还原的银量和染料产率等重要结果．
In this paper, a mathematical model describing the kinetics of dye cloud formation, the smallest element of a color dye image, is designed according to the diffusion-reaction process of the developer oxidation product (QDI) in a color silver halide imaging system. This model simulates that in the media layer containing disperse coupler oil beads, the exposed silver halide grains, upon color development, have QDIs formed on their surface spherically diffusing around the particles while on the one hand themselves Deamination or sulfonation, on the other hand, it undergoes an interfacial coupling reaction with the coupler oil beads to form a dye and form a dye cloud around the particles. This model not only provides a description of the fine process of dye cloud formation in color silver halide systems but also provides important results such as the radial distribution of dyes in the medium layer, the spatiotemporal distribution of QDI concentration, and the reduced silver content and dye yield.